2816800 has 72 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 963840.

The previous prime is 2816777. The next prime is 2816809. The reversal of 2816800 is 86182.

2816800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2816809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5349 + ... + 5851.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

2^2816800 is an apocalyptic number.

2816800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2816800 is an abundant number, since it is smaller than the sum of its proper divisors (5057696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2816800 is a wasteful number, since it uses less digits than its factorization.

2816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 2816800 is about 1678.3325057926. The cubic root of 2816800 is about 141.2273046785.

The spelling of 2816800 in words is "two million, eight hundred sixteen thousand, eight hundred".